A survey of subdivisions and local $h$-vectors
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Publication:2988244
zbMath1370.05225arXiv1403.7144MaRDI QIDQ2988244
Publication date: 18 May 2017
Full work available at URL: https://arxiv.org/abs/1403.7144
subdivisionsimplicial complexhomology sphereflag complexbarycentric subdivision\(\gamma\)-vectorlocal \(h\)-vectoredgewise subdivision
Permutations, words, matrices (05A05) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Combinatorial aspects of simplicial complexes (05E45)
Related Items (17)
The local $h$-polynomial of the edgewise subdivision of the simplex ⋮ Derangements, Ehrhart theory, and local \(h\)-polynomials ⋮ Local \(h\)-polynomials, invariants of subdivisions, and mixed Ehrhart theory ⋮ Resolutions of local face modules, functoriality, and vanishing of local \(h\)-vectors ⋮ On the \(f\)-vectors of \(r\)-multichain subdivisions ⋮ The type \(B\) permutohedron and the poset of intervals as a Tchebyshev transform ⋮ Combinatorics and Algebra of Geometric Subdivision Operations ⋮ A note on gamma triangles and local gamma vectors (with an appendix by Alin Bostan) ⋮ Triangulations of simplices with vanishing local \(h\)-polynomial ⋮ On the real-rootedness of the local \(h\)-polynomials of edgewise subdivisions ⋮ Gamma-positivity in combinatorics and geometry ⋮ Fixed points and adjacent ascents for classical complex reflection groups ⋮ On \(\gamma\)- and local \(\gamma\)-vectors of the interval subdivision ⋮ Subdivisions of shellable complexes ⋮ Some applications of Rees products of posets to equivariant gamma-positivity ⋮ Binomial Eulerian polynomials for colored permutations ⋮ Filtrations on combinatorial intersection cohomology and invariants of subdivisions
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